Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2004-04-14
Phys.Rev. A70 (2004) 052101
Physics
Condensed Matter
Other Condensed Matter
23 pages, revtex4, 5 PS figures, discussion expanded, results unchanged
Scientific paper
10.1103/PhysRevA.70.052101
We consider the non-relativistic four-boson system with short-range forces and large scattering length in an effective quantum mechanics approach. We construct the effective interaction potential at leading order in the large scattering length and compute the four-body binding energies using the Yakubovsky equations. Cutoff independence of the four-body binding energies does not require the introduction of a four-body force. This suggests that two- and three-body interactions are sufficient to renormalize the four-body system. We apply the equations to 4He atoms and calculate the binding energy of the 4He tetramer. We observe a correlation between the trimer and tetramer binding energies similar to the Tjon line in nuclear physics. Over the range of binding energies relevant to 4He atoms, the correlation is approximately linear.
Hammer Hans-Werner
Meißner Ulf-G.
Platter Lucas
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